4.4. A logistic regression model is fit with the response Y of being cured of a disease (1=yes and 0=no) and the explanatory variable X being the dosage level of the treatment (in milligrams, continuous). An approximate 95% confidence interval for ei (where B1 is coefficient on X) is (1.40, 1.65). Which of the following is a correct interpretation of the interval? a. 95% confident that the true odds ratio for comparing X+1 to X (1 unit dose increase to regular dose) is between 1.4 and 1.65. b. 95% probability that the true odds ratio for comparing X+1 to X (1 unit dose increase to regular dose) is between 1.4 and 1.65. c. 95% confident that the estimated odds ratio for comparing X+1 to X (1 unit dose increase to regular dose) is between 1.4 and 1.65. d. 95% confident that the true odds ratio for comparing X+1 to X (1 unit dose increase to regular dose) is between e1.4 and e1.65. 4.5. We have a single categorical covariate X with levels 0 or 1 and a single categorical covariate W with levels 0 or 1. A model is fit with X and W main effects only (logit(µ;) = Bo + B1X; + B2W¿) and the output from R states each estimated coefficient has a p-value = 0.5 for testing if ß; = 0 for j=1,2. But the deviance test of ß1 = B2 = 0 returns a p-value of 0.0001. Choose the correct choice. a. Both X and W should not be in the model. b. Both X and W should be in the model. c. X or W (but not both) should be in the model. с. 4.6 If overdispersion is not present in these data, the estimated dispersion parameter for the quasipoisson family should be approximately equal to what value? а. 1. b. О. c. The null deviance. d. 00
4.4. A logistic regression model is fit with the response Y of being cured of a disease (1=yes and 0=no) and the explanatory variable X being the dosage level of the treatment (in milligrams, continuous). An approximate 95% confidence interval for ei (where B1 is coefficient on X) is (1.40, 1.65). Which of the following is a correct interpretation of the interval? a. 95% confident that the true odds ratio for comparing X+1 to X (1 unit dose increase to regular dose) is between 1.4 and 1.65. b. 95% probability that the true odds ratio for comparing X+1 to X (1 unit dose increase to regular dose) is between 1.4 and 1.65. c. 95% confident that the estimated odds ratio for comparing X+1 to X (1 unit dose increase to regular dose) is between 1.4 and 1.65. d. 95% confident that the true odds ratio for comparing X+1 to X (1 unit dose increase to regular dose) is between e1.4 and e1.65. 4.5. We have a single categorical covariate X with levels 0 or 1 and a single categorical covariate W with levels 0 or 1. A model is fit with X and W main effects only (logit(µ;) = Bo + B1X; + B2W¿) and the output from R states each estimated coefficient has a p-value = 0.5 for testing if ß; = 0 for j=1,2. But the deviance test of ß1 = B2 = 0 returns a p-value of 0.0001. Choose the correct choice. a. Both X and W should not be in the model. b. Both X and W should be in the model. c. X or W (but not both) should be in the model. с. 4.6 If overdispersion is not present in these data, the estimated dispersion parameter for the quasipoisson family should be approximately equal to what value? а. 1. b. О. c. The null deviance. d. 00
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:4.4. A logistic regression model is fit with the response Y of being cured of a disease (1=yes
and 0=no) and the explanatory variable X being the dosage level of the treatment (in milligrams,
continuous). An approximate 95% confidence interval for e1 (where B1 is coefficient on X) is (1.40,
1.65). Which of the following is a correct interpretation of the interval?
a. 95% confident that the true odds ratio for comparing X+1 to X (1 unit dose increase to regular
dose) is between 1.4 and 1.65.
b. 95% probability that the true odds ratio for comparing X+1 to X (1 unit dose increase to
regular dose) is between 1.4 and 1.65.
c. 95% confident that the estimated odds ratio for comparing X+1 to X (1 unit dose increase to
regular dose) is between 1.4 and 1.65.
d. 95% confident that the true odds ratio for comparing X+1 to X (1 unit dose increase to regular
dose) is between e1.4 and e1.65.
4.5. We have a single categorical covariate X with levels 0 or 1 and a single categorical covariate W
with levels 0 or 1. A model is fit with X and W main effects only (logit(µ;) = Bo + B1X; + B2W;)
and the output from R states each estimated coefficient has a p-value - 0.5 for testing if B; = 0 for
j=1,2. But the deviance test of B1 = B2 = 0 returns a p-value of 0.0001. Choose the correct choice.
a. Both X and W should not be in the model.
b. Both X and w should be in the model.
c. X or W (but not both) should be in the model.
4.6 If overdispersion is not present in these data, the estimated dispersion parameter for the
quasipoisson family should be approximately equal to what value?
а. 1.
b. 0.
c. The null deviance.
d. 0
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